# Python Math: Convert a floating point number to an approximate rational value

## Python Math: Exercise-47 with Solution

Write a Python program to convert a floating point number (PI) to an approximate rational value on the various denominators.

Note: max_denominator = 1000000

**Sample Solution**:

**Python Code:**

```
import fractions
import math
print('PI =', math.pi)
f_pi = fractions.Fraction(str(math.pi))
print('No limit =', f_pi)
for d in [1, 5, 50, 90, 100, 500, 1000000]:
limited = f_pi.limit_denominator(d)
print('{0:8} = {1}'.format(d, limited))
```

Sample Output:

PI = 3.141592653589793 No limit = 3141592653589793/1000000000000000 1 = 3 5 = 16/5 50 = 22/7 90 = 267/85 100 = 311/99 500 = 355/113 1000000 = 3126535/995207

**Flowchart:**

**Python Code Editor:**

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